Stochastic viability in an island model with partial dispersal : Approximation by a diffusion process in the limit of a large number of islands

no code implementations • 1 Nov 2023 • Dhaker Kroumi, Sabin Lessard

This diffusion process allows us to evaluate the fixation probability of type $A$ following its introduction as a single mutant in a population that was fixed for type $B$.

Evolutionary game with stochastic payoffs in a finite island model

no code implementations • 1 Nov 2023 • Dhaker Kroumi, Sabin Lessard

In this paper, we consider a two-player two-strategy game with random payoffs in a population subdivided into $d$ demes, each containing $N$ individuals at the beginning of any given generation and experiencing local extinction and recolonization with some fixed probability $m$ after reproduction and selection among offspring.

Noise-induced stochastic Nash equilibrium

no code implementations • 25 Oct 2023 • Cong Li, Tianjiao Feng, Xiudeng Zheng, Sabin Lessard, Yi Tao

In order to better understand the impact of environmental stochastic fluctuations on the evolution of animal behavior, we introduce the concept of a stochastic Nash equilibrium (SNE) that extends the classical concept of a Nash equilibrium (NE).

Average abundancy of cooperation in multi-player games with random payoffs

no code implementations • 24 Feb 2022 • Dhaker Kroumi, Sabin Lessard

We show that a decrease in the scaled variance of $b$ or $c$, or an increase in their scaled covariance, makes it easier for weak selection to favor the abundance of cooperation in the stag hunt game and the snowdrift game.